| 单词 | Malfatti's Right Triangle Problem |
| 释义 | Malfatti's Right Triangle ProblemFind the maximum total Area of three Circles (of possibly different sizes) which can be packedinside a Right Triangle of any shape without overlapping. In 1803, Malfatti gave the solution as threeCircles (the Malfatti Circles) tangent to each other and to two sides of the Triangle. In1929, it was shown that the Malfatti Circles were not always the best solution. Then Goldberg (1967) showed that,even worse, they are never the best solution. See also Malfatti's Tangent Triangle Problem
Eves, H. A Survey of Geometry, Vol. 2. Boston: Allyn & Bacon, p. 245, 1965. Goldberg, M. ``On the Original Malfatti Problem.'' Math. Mag. 40, 241-247, 1967. Ogilvy, C. S. Excursions in Geometry. New York: Dover, pp. 145-147, 1990. |
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